Final answer:
In this case, (b/7a^2c) * (5a^3c^2 / 5a^3c^2) = (5ab * a * c^2) / (35a^3c^3)
The domain has not changed.
Step-by-step explanation:
To change the denominator of b/7a^2c to 35a^3c^3, we need to multiply the numerator and denominator by the appropriate factors so that the denominator matches the desired denominator.
In this case, we need to multiply by 5a^3c^2.
This will give us:
(b/7a^2c) * (5a^3c^2 / 5a^3c^2)
= (5ab * a * c^2) / (35a^3c^3)
By doing this, the denominator has changed to the desired denominator of 35a^3c^3.
The domain has not changed.